Twenty-seven persons attend a party. Which one of the following statements can never be true?
1. There is a person in the party who is acquainted with all the twenty-six others.
possible since you have 1 know other 26...
2. Each person in the party has a different number of acquaintances.
seems like this one can never happen.
3. There is a person in the party who has an odd number of acquaintances.
it can happen
4. In the party, there is no set of three mutual acquaintances.
are you making these questions up? there are usually 5 answers to PS questions...
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